Question

In a class, in an examination in Mathematics, 10 students scored 100 marks each, 2 students scored zero and the average of the remaining students is 72 marks. If the class average is 76, then the number of students in the class is:

• A. $44$
• B. $40$
• C. $38$
• D. $34$
• E. $32$

Hint:

For weighted average problems, the "deviation method" can be faster. The total deviation from the mean must be zero. The 10 students are +24 each ($+240$), the 2 students are -76 each ($-152$), so the remaining students must balance the $+88$ surplus by being 4 marks below the average ($72-76 = -4$). $88/4 = 22$ remaining students. Total $= 22 + 12 = 34$.

Answer 1

The Correct Option is D